Rotational surfaces in higher dimensional euclidean spaces

Abstract

In the present study we consider the generalized rotational surfaces in Euclidean m-space E-m. Firstly, we introduce some basic concepts of second fundamental form and curvatures of the surfaces in E-m. Further, we obtained some basic properties of generalized rotational surfaces in E-m and some results related with their curvatures. Finally, we give some examples of generalized rotational surfaces in Euclidean 5-space E-5.